ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

Empty set is

• Not subset of every set A
• Finite set B
• Infinite set C
• Not the member of real numbers D

P∉ A means

• Pis subset of A A
• Pis an element of A B
• P does not belongs to A C
• A does not element of P D

The identity element of a set X with respect to intersection in P(x) is

• X A
• Does not exist B
• ∅ C
• None of these D

A function whose range is just one elements is called

• One-one function A
• Constant function B
• Onto function C
• Identity function D

If D = {a} , the P(D) =

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

• An empty set A
• Universal set B
• A singleton set C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• +-1 C
• Does not exist D

The complement of set A relative to universal set U is the set

• {x / x∈ A∧ x∈ U} A
• {x / x∉ A∧ x ∈ U} B
• {x / x∈ A and x ∉ U} C
• A-U D

Which of the following sets is finite

• The set of natural numbers between 3 and 10 A
• The set of rational numbers between 3 and 10 B
• The set of real numbers between 0 and 1 C
• The set of rational numbers between 0 and 1 D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

If A∩B=B, then n(A∩B) is equal to

• n(a) A
• n(a)+n(c) B
• n(c) C
• None of these D

The negation of a number

• a relation A
• a function B
• unary operation C
• binary operation D

• A A
• A' B
• U C
• U' D

The set {-1, 1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

Every subset of a finite set is

• Disjoint A
• Null B
• Finite C
• Infinite D

The set {Z\ {0} } is group w.r.t

• Addition A
• Multiplication B
• Division C
• Subtraction D

If T = {2,4,6,8,10,12}, then

• T = (First six natural numbers) A
• T = (First six odd numbers) B
• T = (First six real numbers) C
• T = ( First six even numbers) D

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

• A = B A
• B = C B
• A≠ C C
• A ≠ B D

The graph of a quadratic function is

• Circle A
• Straight line B
• Parabola C
• Triangle D

If B ={x/x€ Z ^ - 3 < x < 6}, then n (B) =

• 5 A
• {-3,-2,-1,0,1,2,3,4,5,6} B
• 8 C
• 9 D

• 
  A
• 
  B
• 
  C
• 
  D

• 1/x A
• -x B
• 2x C
• 0.5 x D

Identity w.r.t intersection in a power set of any set is

• ∅ A
• Set itself B
• Singleton set C
• {0} D

• 
  A
• 
  B
• 
  C
• 
  D

If A ⊆ B then A ∪ B is

• A A
• B B
• A' C
• A ∩B D

0 is a symbol of

• singleton set A
• Empty set B
• Equivalent set C
• Infinite set D

The set {-1,1} is closed under the binary operation of

• Addition A
• Multiplication B
• Subtraction C
• Division D

The set of even prime numbers is

• (2,4,6,8,10} A
• {2,4,6,8,10,12} B
• {1,3,5,7,9} C
• {2} D

The set of months in a year beginning with S.

• {September, October, November} A
• Singleton set B
• Null set C
• Empty set D